metric conversions example: 83.6 cg to g 83.6 cg x 1g/100 cg = 0.836 g use unit analysis to perform the…
metric conversions example: 83.6 cg to g 83.6 cg x 1g/100 cg = 0.836 g use unit analysis to perform the following conversions. show the set - up and answer, include units 1. 123 m to cm 2. 456 cm to m 3. 789 dg to hg 4. 123 mg to g 5. 456 mm to nm 6. 789 ml to μl 7. 123 ng to g 8. 456 m² to cm² 9. 789 cm³ to m³ 10. 1.23 g/ml to kg/l go back and use your calculator to put your answers into scientific notation
Answer
Explanation:
Step1: Recall conversion factor
1 m = 100 cm.
Step2: Set - up conversion
$123\ m\times\frac{100\ cm}{1\ m}$.
Step3: Calculate
$123\times100 = 12300$ cm.
Answer:
$1.23\times10^{4}$ cm
Explanation:
Step1: Recall conversion factor
1 m = 100 cm, so 1 cm=$\frac{1}{100}$m = 0.01 m.
Step2: Set - up conversion
$456\ cm\times\frac{1\ m}{100\ cm}$.
Step3: Calculate
$456\times0.01 = 4.56$ m.
Answer:
$4.56\times10^{0}$ m
Explanation:
Step1: Recall conversion factors
1 hg = 100 g, 1 dg=0.1 g. So 1 hg = 1000 dg.
Step2: Set - up conversion
$789\ dg\times\frac{1\ hg}{1000\ dg}$.
Step3: Calculate
$789\div1000 = 0.789$ hg.
Answer:
$7.89\times10^{-1}$ hg
Explanation:
Step1: Recall conversion factor
1 g = 1000 mg, so 1 mg=$\frac{1}{1000}$g = 0.001 g.
Step2: Set - up conversion
$123\ mg\times\frac{1\ g}{1000\ mg}$.
Step3: Calculate
$123\times0.001 = 0.123$ g.
Answer:
$1.23\times10^{-1}$ g
Explanation:
Step1: Recall conversion factors
1 mm = 1000000 nm.
Step2: Set - up conversion
$456\ mm\times\frac{1000000\ nm}{1\ mm}$.
Step3: Calculate
$456\times1000000=456000000$ nm.
Answer:
$4.56\times10^{8}$ nm
Explanation:
Step1: Recall conversion factor
1 mL = 1000 $\mu$L.
Step2: Set - up conversion
$789\ mL\times\frac{1000\ \mu L}{1\ mL}$.
Step3: Calculate
$789\times1000 = 789000$ $\mu$L.
Answer:
$7.89\times10^{5}$ $\mu$L
Explanation:
Step1: Recall conversion factor
1 g = 1000000000 ng, so 1 ng=$\frac{1}{1000000000}$g = $10^{-9}$g.
Step2: Set - up conversion
$123\ ng\times\frac{1\ g}{1000000000\ ng}$.
Step3: Calculate
$123\times10^{-9}=1.23\times10^{-7}$ g.
Answer:
$1.23\times10^{-7}$ g
Explanation:
Step1: Recall conversion factor
1 m = 100 cm, so 1 $m^{2}=(100\ cm)^{2}=10000\ cm^{2}$.
Step2: Set - up conversion
$456\ m^{2}\times\frac{10000\ cm^{2}}{1\ m^{2}}$.
Step3: Calculate
$456\times10000 = 4560000$ $cm^{2}$.
Answer:
$4.56\times10^{6}$ $cm^{2}$
Explanation:
Step1: Recall conversion factor
1 m = 100 cm, so 1 $m^{3}=(100\ cm)^{3}=1000000\ cm^{3}$.
Step2: Set - up conversion
$789\ cm^{3}\times\frac{1\ m^{3}}{1000000\ cm^{3}}$.
Step3: Calculate
$789\div1000000 = 0.000789$ $m^{3}$.
Answer:
$7.89\times10^{-4}$ $m^{3}$
Explanation:
Step1: Recall conversion factors
1 kg = 1000 g, 1 L = 1000 mL.
Step2: Set - up conversion
$1.23\ \frac{g}{mL}\times\frac{1\ kg}{1000\ g}\times\frac{1000\ mL}{1\ L}$.
Step3: Calculate
$1.23\times\frac{1}{1000}\times1000 = 1.23$ $\frac{kg}{L}$.
Answer:
$1.23\times10^{0}$ $\frac{kg}{L}$